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Chapter D, Problem 11P

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• • D.11 Bill Youngdahl has been collecting data at the TU student grill. He has found that, between 5:00 P.M. and 7:00 P.M., students arrive at the grill at a rate of 25 per hour (Poisson distributed) and service time takes an average of 2 minutes (exponential distribution). There is only 1 server, who can work on only 1 order at a time.

  1. a. What is the average number of students in line?
  2. b. What is the average time a student is in the grill area?
  3. c. Suppose that a second server can be added to team up with the first (and, in effect, act as 1 faster server). This would reduce the average service time to 90 seconds. How would this affect the average time a student is in the grill area?
  4. d. Suppose a second server is added and the 2 servers act independently, with each taking an average of 2 minutes. What would be the average time a student is in the system?
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Chapter D Solutions

Operations Management: Sustainability and Supply Chain Management, Student Value Edition Plus MyLab Operations Management with Pearson eText -- Access Card Package (12th Edition)

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